-1 minus -9 / 2 minus 4 -1--9/2-4
Answer:
x² - 9x + 14 by completing the square is (x - 9/2)² - 25/4
Step-by-step explanation:
Given x² - 9x + 14
To rewrite by completing the square, we need to write this in the form (a + b)² or (a - b)² without changing the value of the expression.
(a + b)² = a² + 2ab + b² (equation 1)
(a - b)² = a² - 2ab + b² (equation 2)
x² - 9x + 14 = x² - 2(x)(9/2) + (9/2)² - 25/4 (equation 3)
Comparing (equation 3) with (equation 1) and (equation 2), we can see that it takes the form of (equation 1), though, surplus of 25/4, where a = x, and b = 9/2.
So
x² - 2(x)(9/2) + (9/2)² = x² - 2(x)(9/2) + 81/4 = (x - 9/2)²
Which means
x² - 9x + 14
= x² - 2(x)(9/2) + 81/4 - 25/4
= x² - 2(x)(9/2) + (9/2)² - 25/4
= (x - 9/2)² - 25/4
And the square is completed.
Answer:
1st one is in function rest are not
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
Answer:
AC and DF
Step-by-step explanation:
Corresponding sides as well as corresponding angles have a pair of same angles or sides that are in the same place in two different shapes that are similar.
Find attached the diagram used for solving the question
Since Δ ABC = Δ DEF
∠B corresponds to ∠E
∠A corresponds to ∠D
∠C corresponds to ∠F
As a result of the above:
Line AB corresponds to line DE
Line AC corresponds to line DF
Line BC corresponds to line EF
Therefore, if Δ ABC = Δ DEF, one of the pair of corresponding parts would be AC and DF.
